Solve 3(x-1)/x+2=4

$$\frac { 3 ( x - 1 ) } { x + 2 } = 4$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$3\left(x-1\right)=4\left(x+2\right)$$

Use the distributive property to multiply 3 by x-1.

$$3x-3=4\left(x+2\right)$$

Use the distributive property to multiply 4 by x+2.

$$3x-3=4x+8$$

Subtract 4x from both sides.

$$3x-3-4x=8$$

Combine 3x and -4x to get -x.

$$-x-3=8$$

Add 3 to both sides.

$$-x=8+3$$

Add 8 and 3 to get 11.

$$-x=11$$

Multiply both sides by -1.

$$x=-11$$